A continuum elastic-plastic theory for porous materials with maximum energy dissipation rate

In this paper, in terms of the first and second laws of thermodynamics, as well as the principle of maximum energy dissipation rate, a continuum elastic-plastic theory for porous materials is proposed. Unlike the Prandtl-Reuss equation, the influence of plastic volumetric strain is fully taken into account. An incremental elastic-plastic constitutive law is derived and a series of yield criteria are proposed. Its implementation is demonstrated with a simple example. This study offers a new perspective for modelling the elastic-plastic deformation of porous materials.